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Finding the Fourth Proportional to 18,424.23, 27,636.63 and 9,676.23

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Solution

The fourth proportional to 18,424.23, 27,636.63 and 9,676.23 is: 14,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424.23 : 27,636.63 = 9,676.23 : x
  2. Step 2: Convert to fraction form
    18,424.23/27,636.63 = 9,676.23/x
  3. Step 3: Cross multiply
    18,424.23x = 27,636.63 × 9,676.23
  4. Step 4: Simplify right side
    18,424.23x = 267,418,388.30
  5. Step 5: Solve for x
    x = 267,418,388.30/18,424.23
  6. Step 6: Final answer
    x = 14,514.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.